Calculus Teacher Resources
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Advanced Electromagnetism and Electromagnetic Induction
In this electromagnetism and electromagnetic induction worksheet, learners answer 11 questions using calculus to determine things such as magnetic flux and wave output.
River Optimization Problem
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem instructional activity, students optimize appropriate details of a problem using data collection, algebra, technology, and/or calculus. Students also complete the inquiry-based worksheets included with the instructional activity.
In this inductors instructional activity, students solve 11 problems using calculus in order to find inductance, changes in polarity and inductance, and what occurs when saturation is reached.
Functions and Derivatives
Learners derive functions given a limit. In this calculus instructional activity, student define the derivative of f at x=a, knowing the derivative is a point or just a number. This assignment requires students to work independently as much as possible.
Limits and Their Properties
Students discuss the following topics of Calculus: The Tangent Line Problem, The Area Problem, and Exercises. They find limits graphically and numerically. Students write a mathematical autobiography, they write their earliest memories of mathematics or numbers.
Solar Flare Reconstruction
For this solar flare reconstruction worksheet, students read about the 'saturation' point of satellite detectors when solar flares are at their most intense phase of brightness. Students are given x-ray flare data and they re-plot the data to estimate the peak of intensity. They create 2 exponential functions to fit the data and estimate the peak intensity and time. Students use calculus to integrate one of the functions and calculate the total energy radiated by the flare.
Calculus Practice Test: Velocity, Functions
In this calculus learning exercise, students observe graphs and identify the limits of the functions listed in the graph. They determine the definite integrals and derivatives. Students use the trapezoid rule to estimate distance. This five-page learning exercise contains 14 problems.
Use of CAS in Teaching Differential Calculus
Learners explore the concept of differential calculus. In this differential calculus activity, students use the derivative definition as h approaches zero to find the derivative of quadratic and 4th degree functions. Learners use their Ti-89 to find the gradient of the secant and tangent.
Return Intervals & Reasoning from Tabular Data
Students calculate derivatives from a set of data. For this calculus lesson, students estimate the limit at infinity. They complete a Return Interval handout at the end of the lesson.
Students explore Riemann Sums. In this Calculus activity, students investigate Riemann Sums as an approximation of the value of the definite integral.
Applications of the Derivative
Students explore applications of the derivative. In this calculus instructional activity students explore two common applications of the derivatives, optimization and related rates.
Calculus: Derivatives 1 (new HD version)
Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant line to the curve and then using our knowledge of limits, defining the limit as _x approaches zero to get the slope of the tangent line to the curve. Along with the video, there is an interesting practice module that models the connection between the slopes of the tangent lines and the derivative of a function.
Calculus: Derivatives 3
This video covers the differential notation dy/dx and generalizes the rule for finding the derivative of any polynomial. It also extends the notion of the derivatives covered in the Khan Academy videos, "Calculus Derivatives 2Ó and "Calculus Derivatives 2.5 (HD).Ó Note: Additional practice using the power rule for differentiating polynomials (including some with negative exponents) is available to the listener.
The Fundamental Theorem of Calculus and Properties of the Definite Integral
Students discuss the importance of fundamental theorems in math. In this calculus instructional activity, students define the fundamental theorem of calculus and discuss why it is so important they understand it. They work problems to model how this theorem works.
Introduction to Calculus
Twelfth graders discuss attitude necessary to be successful in calculus. For this calculus lesson, 12th graders review famous quotes about success to help them get motivated to learn and be successful in the classroom. This assignment contains interactive links.
Area Under A Curve
Students use the derivative and integral to solve problems involving areas. In this calculus lesson plan, students calculate the area under a curve as they follow a robot off road making different curves along the drive. They use Riemann Sums and Trapezoidal rules to solve the problem.
AP Calculus Review
Students explore the concept of minimization. In this minimization instructional activity, kids determine the least expensive box given specific requirements. Students solve a question from the AP Calculus exam in 1982; the same question from the movie Stand and Deliver.
The Fundamental Theorem of Calculus and Area Under the Curve
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the fundamental theorem of calculus. They work lots of examples with the instructor before being on their own.
Seeing is Believing
Students read about AP calculus online. In this calculus lesson, students learn real life usage for calculus. They read about instructors and their experience teaching and incorporating calculus into the real world.
Students review and analyze topics needed to be successful in calculus. In this precalculus lesson, students review the unit circle and its properties. The trigonometric ratios and its identities.